Simplify; \(\frac{2}{1 - x} - \frac{1}{x}\)
A
\(\frac{x + 1}{x(1 - x)}\)
B
\(\frac{3x - 1}{ x(1 - x)}\)
C
\(\frac{3x + 1}{ x(1 - x)}\)
D
\(\frac{x - 1}{ x(1 - x)}\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\(\frac{2}{1 - x} - \frac{1}{x}\) = \(\frac{2x - 1(1 - x)}{x(1 - x)}\)
= \(\frac{2x - 1 + x}{x(1 - x)}\)
= \(\frac{3x - 1}{x(1 - x)}\)
Source: Myschool Past Questions Archive (Record #46106)